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Finding the Fourth Proportional to 459,145.80, 688,718.70 and 317,428.20

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Solution

The fourth proportional to 459,145.80, 688,718.70 and 317,428.20 is: 476,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,145.80 : 688,718.70 = 317,428.20 : x
  2. Step 2: Convert to fraction form
    459,145.80/688,718.70 = 317,428.20/x
  3. Step 3: Cross multiply
    459,145.80x = 688,718.70 × 317,428.20
  4. Step 4: Simplify right side
    459,145.80x = 218,618,737,247.34
  5. Step 5: Solve for x
    x = 218,618,737,247.34/459,145.80
  6. Step 6: Final answer
    x = 476,142.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.